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Finding the Fourth Proportional to 371,458.87, 512,598.86 and 201,689.11

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Solution

The fourth proportional to 371,458.87, 512,598.86 and 201,689.11 is: 278,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,458.87 : 512,598.86 = 201,689.11 : x
  2. Step 2: Convert to fraction form
    371,458.87/512,598.86 = 201,689.11/x
  3. Step 3: Cross multiply
    371,458.87x = 512,598.86 × 201,689.11
  4. Step 4: Simplify right side
    371,458.87x = 103,385,607,860.42
  5. Step 5: Solve for x
    x = 103,385,607,860.42/371,458.87
  6. Step 6: Final answer
    x = 278,323.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.